INTJs would have a hard time not conceding that the dumbass has a point if he actually does. it's not so much a point of whether the INTJ must be 'better' at something or 'worse' than something than the other person but more of a matter of as long as it's done 'right.' An INTJ may not need to be right about everything but if they're sure they're right about something, it's difficult to make them accept another opinion, and they won't accept 'just to get along' as a reason to change their opinion.
Feelers can be strong math students too and like computers, just as Thinkers can be poor math students and not be able to stand computers.
I'm going for INFJ from what I'm reading.
You really can't go by separating T/F into "science" versus "humanities." I mean, my brother (INFP) wanted to be a doctor and I wanted to be a linguist. I'm a part of a writing group, and while most of the people are NFs or SFPs, at last count we had 3 NTs -- an ENTP, an INTJ (me) and an ENTJ. The ENTP writes sci-fi humor, I write (Christ I don't know what I write anymore) surreal fantasy, and the ENTJ writes edgy teen fiction. We don't necessarily have a lot in common with each other, but we do tend to go about writing differently than everyone else. It doesn't mean we're not all writers, though, something that is usually labeled an "NF" pursuit.
-Carefully taking sips from the Fire Hose of Knowledge